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Finding the Fourth Proportional to 230,538.16, 318,151.56 and 129,934

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Solution

The fourth proportional to 230,538.16, 318,151.56 and 129,934 is: 179,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,538.16 : 318,151.56 = 129,934 : x
  2. Step 2: Convert to fraction form
    230,538.16/318,151.56 = 129,934/x
  3. Step 3: Cross multiply
    230,538.16x = 318,151.56 × 129,934
  4. Step 4: Simplify right side
    230,538.16x = 41,338,704,797.04
  5. Step 5: Solve for x
    x = 41,338,704,797.04/230,538.16
  6. Step 6: Final answer
    x = 179,313.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.